Geometric nonlinear analysis of thin plates by a refined nonlinear non-conforming triangular plate element

Thin-Walled Structures

Volumn 41, Issue 5, 2003, Pages 403-418

  Zhang, Y X ^a   Cheung, Y K ^b  

^a UNIVERSITY OF QUEENSLAND   (Australia)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Refined non conforming element method for geometric nonlinear analysis; Refined nonlinear non conforming triangular plate element; Total Lagrangian; Updated Lagrangian

Indexed keywords

COMPUTATIONAL METHODS; DEGREES OF FREEDOM (MECHANICS); GEOMETRY; LAGRANGE MULTIPLIERS; NONLINEAR SYSTEMS;

TRIANGULAR PLATE ELEMENT;

PLATES (STRUCTURAL COMPONENTS);

EID: 0037403142     PISSN: 02638231     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0263-8231(02)00114-3     Document Type: Article

References (24)

1. Allman D.J. A compatible triangular element including vertex rotations for plane elasticity analysis. Comput Struct. 19:1984;1-8.
2. Cheung Y.K., Chen W. Refined nine-parameter triangular thin plate bending element by using refined direct stiffness methods. Int J Num Meth Eng. 38:1995;283-298.
3. Taylor R.L., Beresford P.L., Wilson E.L. A non-conforming element for stress analysis. Int J Num Meth Eng. 10:1976;1211-1219.
4. Argyris J.H., Hease M., Mlejnek H.P. On an unconventional but natural formulation of a stiffness matrix. Comp Meth Appl Mech Eng. 22:1980;1-22.
5. Fellipa C.A., Bergan P.G. A triangular bending element based on energy-orthogonal free formulation. Comp Meth Appl Mech Eng. 61:1987;129-160.
6. Chen W., Li Y. Refined non-conforming quadrilateral plane isoparametric element with drilling degrees of freedom. Comp Struct Mech Appl. 10:1993;22-29.
7. Chen W., Cheung Y.K. Refined non-conforming quadrilateral thin plate bending element. Int J Num Meth Eng. 40:1997;3919-3935.
8. Chen W., Cheung Y.K. Refined quadrilateral discrete Kirchhoff thin plate bending element. Int J Num Meth Eng. 41:1997;3937-3953.
9. Li Y., Chen W. Refined nonconforming 8-node plane elements. Chinese J Comput Mech. 14:1997;276-285.
10. Chen W., Cheung Y.K. Refined triangular discrete Kirchhoff thin plate bending element for thin plate bending, vibration and buckling analysis. Int J Num Meth Eng. 41:1998;1507-1525.
11. Chen W., Cheung Y.K. Refined non-conforming triangular elements for analysis of shell structures. Int J Num Meth Eng. 46:1999;433-455.
12. Cheung Y.K., Zhang Y.X., Chen W.J. A refined nonconforming plane quadrilateral element. Computers and Structures. 78:2000;699-709.
13. Zhang Y., Cheung Y.K., Chen W.J. Two refined nonconforming quadrilateral flat shell elements. Int J Num Meth Eng. 49:2000;355-382.
14. Chen W. Variational principles and refined non-conforming element methods for geometrically nonlinear analysis. Commun Numer Meth Engng. 13:1997;665-673.
15. Chen W., Zheng S. Refined hybrid degenerated shell element for geometrically non-linear analysis. Int J Num Meth Eng. 41:1998;1195-1213.
16. Zhu J., Chen W. Geometric nonlinear analysis by using refined triangular thin plate element and free from membrane locking. Comput Struct. 63:1997;999-1005.
17. G.P. Bazeley, Y.K. Cheung, B.M. Irons, O.C. Zienkiewicz, Triangular elements in bending-conforming and non-conforming solutions, Proc. Conf. Matrix Methods in Structural Mechanics, Air Force Ins, Tech, Wright-Patterson A.F. Base, (1965), pp. 547-576.
18. Schoop H. A simple nonlinear flat element for large displacement structures. Comput Struct. 32:1989;379-385.
19. Y.K. Cheung, S. Zhang, W. Chen, Refined non-conforming triangular plate element for geometrically nonlinear analysis, has been accepted by Scientia Iranica.
20. Stricklin J.A., Haisler W.E., Tisdale P.R., Gunderson R. A rapidly converging triangular plate element. AIAA J. 7:1969;180-181.
21. Pica A., Wood R.D., Hinton E. Finite element analysis of geometrically nonlinear plate behavior using a Mindlin formulation. Comput & Struct. 11:1980;203-215.
22. Chia C.Y. Nonlinear analysis of plates. 1980;McGraw-Hill, London.
23. Bathe K.J., Bolourchi S. Large displacement analysis of three-dimensional beam structures. Int J Num Meth Eng. 14:1979;861-886.
24. Fafard M., Dhatt G., Batoz J.L. A new discrete Kirchhoff plate/shell element with updated procedures. Comput Struct. 31:1989;591-606.